Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,[tex]\mu=np=100\times 0.50=50[/tex]
Standard deviation , [tex]\sigma=\sqrt{np(1-p)}[/tex]
[tex]\sigma=\sqrt{100\times 0.50(1-0.50)][/tex]
[tex]\sigma=5[/tex]
Now,
[tex]P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)[/tex]
[tex]P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})[/tex]
[tex]=P(-1.5\leq Z\leq 2.9)[/tex]
[tex]P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)[/tex]
[tex]P(42.5\leq x\leq 64.5)=0.99813-0.06681[/tex]
[tex]P(43\leq x\leq 64)=0.93132[/tex]
Hence, the probability of observing between 43 and 64 successes=0.93132
A rectangular prism is 3 feet long, 4 feet wide, and 4 feet high. What is it's surface area?
Answer:
80 ft
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A = 2({4x3} + {4x3} + {4x4})
A = 2 (12 + 12 + 16)
A= 2 ( 40)
A = 80 feet
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone
Round 790 to the nearest hundred? Hurry pls and please don't answer if you know you wrong
Answer:
HEY THERE!
Step-by-step explanation:
the answer is:800
hope it helps and have a great day!
Ans: 800
explanation:
Luke makes fruit cakes for a stall at a village fete. It costs Luke £1.80 for
the ingredients for each cake. If he wants to make exactly 35% profit on
each cake, how much money should Luke charge for each cake?
Answer:
2.43
Step-by-step explanation:
1.80 x 0.35 + 1.80
The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect
at x = -2. True or false?
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Answer:
False
Step-by-step explanation:
f(-2) = (1/2)(-2) -3 = -1 -3 = -4
g(-2) = -2(-2) +2 = 4 +2 = 6
The function values are not the same at x=-2, so the graphs do not intersect there.
__
The graphs intersect at x=2.
To test for the significance of a regression model involving 3 independent variables and 51 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are _____.
Answer:
numerator degree of freedom = 3
Denominator degree of freedom = 47
Step-by-step explanation:
The numerator degree of freedom is given by :
p - 1 ; where p = number of predictors ;
p = number of independent variables + 1
Number of independent variables = 3
p = 3 + 1 = 4
Numerator degree of freedom = p - 1 = 4 - 1 = 3
The denominator degree of freedom = n - p ; where n = number of observations
Number of observations, n = 51
Denominator degree of freedom = n - p = 51 - 4 = 47
Question
The sum of three consecutive even integers is -312. Find the Integers.
Answer:
-105, -104, -103
Step-by-step explanation:
lets the numbers be:
x
x+1
x+2
so:
x+(x+1)+(x+2)=-312
x+x+x+1+2=-312
3x+3=-312
3x=-312-3=-315
x=-315/3=-105
Sticky buns sell for $1.25 each,or $10.89 per dozen. how much does each bun cost if purchased by the dozen? How much do you save on 12 sticky buns?
Answer:
If you buy per dozen, each buns costs about 91 cents.
You will save $4.11 if you buy per dozen.
Step-by-step explanation:
1.25 * 12= $15
10.89/12= .9075 = .91 cents
15-10.89= $4.11
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run the plant
I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
y is inversely proportional to the square of x. If y=4 when x=6 then what is y when x is 8?
Step-by-step explanation:
y=k/x
4=k/6 4*6=k =24 . if x=8, y=24/8,y=3About 6% of the population has a particular genetic mutation. 100 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 100.
Answer:
The standard deviation for the number of people with the genetic mutation in such groups of 100=[tex]2.375[/tex]
Step-by-step explanation:-
We are given that
Total number of selected people, n=100
p=6%=0.06
We have to find the standard deviation for the number of people with the genetic mutation in such groups of 100.
Let X denote the number of people with the genetic mutation in such groups of 100.
[tex]\implies X\sim Bin(n=100,p=0.06)[/tex]
We know that
Standard deviation
=[tex]\sqrt{np(1-p)}[/tex]
Using the formula
Standard deviation
=[tex]\sqrt{100\times 0.06(1-0.06)}[/tex]
=[tex]\sqrt{6(0.94)}[/tex]
=[tex]2.375[/tex]
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 100=[tex]2.375[/tex]
what is the formula for triangle
Answer:
BH/2
Step-by-step explanation:
For the area of the triangle, (BH)/2. B=base and H=height
On dividing 12x³ by 4x the quotient is …..
Answer:
12x^3 is equivalent to
12x*12x*12x which if we multiply is
1728x
we divide by 4x
1728x divided by 4x=432x
Hope This Helps!!!
Answer:
3x^2
Step-by-step explanation:
when u divide 12x^3/4x....u divide 12/4=3 along with the x also..tat is x^3/x=x^2
3 coins are flipped.
Answer:
just keep writing down outcome on a sheet of paper then count total
Step-by-step explanation:
math help plz
how to divide polynominals, how to understand and step by step with an example provided please
Answer:
I guess this is the answer hope it helps
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than . Suppose that we suspect otherwise and carry out a hypothesis test. State the null hypothesis and the alternative hypothesis that we would use for this test.
Answer:
The null hypothesis is [tex]H_0: p \leq x[/tex], in which x is the proportion tested.
The alternative hypothesis is [tex]H_1: p > x[/tex]
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
[tex]H_0: p \leq x[/tex]
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
[tex]H_1: p > x[/tex]
A field book is a private notepad used by a surveyor to transcribe notes and is not considered a legal document True False
Answer:
False
Step-by-step explanation:
A field book is a private notepad used by a surveyor to record measurements and notes.
Basically, the size of a field book is 200 millimeters × 120 millimeters (20 centimeters × 12 centimeters) and it's typically opened lengthwise. There are two (2) main types of field book and these includes;
I. Double-line field book.
II. Single-line field book.
As a general rule, it's best that all findings, entries (notes) and observations are recorded or made into a field book after each and every measurement have been taken by a surveyor.
In conclusion, a field book is considered to be a legal document used by surveyors to keep records of accomplished field work or work done in the field. Thus, it's not a private notepad used by a surveyor to transcribe notes.
Answer:
False
Step-by-step explanation:
A field book is a private notepad used by a surveyor to transcribe notes and is not considered a legal document is False.
An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 15 homes recently sold in the Buffalo, New York, area revealed the mean number of times a home was shown was 24 and the standard deviation of the sample was 5 people.
a. What is the margin of error for a 98% confidence interval? (Round your answer to 3 decimal places.)
b. What is the 98% confidence interval for the population mean? (Use Student's t Distribution Table.) (Round your answers to 2 decimal places.)
Answer:
a) The margin of error for a 98% confidence interval is of 3.388 people.
b) The 98% confidence interval for the population mean is between 20.61 people and 27.39 people.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the hypergeometric distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.624
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.624\frac{5}{\sqrt{15}} = 3.388[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. This means that the answer to question a is of 3.388.
Question b:
The lower end of the interval is the sample mean subtracted by M. So it is 24 - 3.39 = 20.61 people
The upper end of the interval is the sample mean added to M. So it is 24 + 3.39 = 27.39 people.
The 98% confidence interval for the population mean is between 20.61 people and 27.39 people.
What is the inverse of function f? f(x)=10/9+11
Answer:
Option D is answer.
Step-by-step explanation:
Hey there!
Given;
f(x) = 10/9 X + 11
Let f(X) be "y".
y = (10/9) X + 11
Interchange "X" and "y".
x = (10/9) y + 11
or, 9x = 10y + 99
or, y = (9x-99)/10
Therefore, f'(X) = (9x-99)/10.
Hope it helps!
There are 3 boxes on stage that appear identical, but one is Lucky. The boxes are full of tickets; some are labeled "win" and the others are labeled "lose." In the Lucky box, ninety percent of the tickets are winners. In each of the other two boxes, only twelve percent of the tickets are winners.
1. You will pick a box at random and draw one ticket from it at random.2. What is the probability you will draw a winning ticket? 3. If you do draw a winning ticket, what is the chance it came from the Lucky box?
Answer:
2.-P = 0.38
3.-P [ Lb | Wt ] = 0.788
Step-by-step explanation:
1.-Probability of choosing any box is, 1/3. So the probability of choosing the lucky box is 1/3
Let´s say the lucky box is the number 2 box ( that consideration does not in any way change the problem generality)
Then we have
p₁ probability of choosing box 1 is 1/3 p₁´ Probability of win ticket is 0.12
p₂ probability of choosing box 2 is 1/3 p₂´Probability of win ticket is 0.90
p₃ probability of choosing box 3 is 1/3 p₃´ Probability of win ticket is 0.12
Then
P (of choosing a winning ticket is) = p₁*p₁´ + p₂*p₂´ + p₃*p₃´
P = 1/3*0.12 + 1/3*0.9 + 1/3*0.12
P = 0.04 + 0.3 + 0.04
P = 0.38
3.- if I draw a winning ticket what is the probability it came from Lucky box
According to Bayes theorem
P [ Lb | Wt ] = P(Lb) * P[ Wt|Lb]/ P(Wt)
P(Lb) = 1/3 = 0.33333
P[Wt|Lb] = 0.9
P(Wt) = 0.38
Then By substitution
P [ Lb | Wt ] = 0.333 * 0.9 / 0.38
P [ Lb | Wt ] = 0.788
²/₃ + ¹/₃ please answer
FINAL ANSWER:
1
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{3}[/tex]
the denominators are the same so all we need to do is add.
[tex]\frac{2}{3} + \frac{1}{3} =\frac{3}{3}[/tex]
[tex]\frac{3}{3} =[/tex] 1 whole
final answer: 1
hope this answer helps you :)
have a great day and may God Bless You!
If the mean, median, and mode are all equal for the set (10, 80, 70, 120, x}, find the value of x.
X
(Simplify your answer. Type an integer or a decimal.)
Question Viewer
Answer:
x=70
Step-by-step explanation:
First, we know that the mode is the number that is the most common. As each value in the set so far only has one of each number, we know that x must be one of the current numbers, making that the mode.
Next, because x is the mode and has to be the median as well, and our number line so far is
(10, 70, 80, 120), x must be either 70 or 80 to make it the median. This is because if x is 10 or 120, we would end up with (10, 10, 70, 80, 120) with 70 as the median or (10, 70, 80, 120, 120) with 80 as the median.
Finally, to calculate the mean, we have
mean = sum / count
The mean must be x, as it is equal to the mode, so we have
x = (10+70+80+120 + x)/5 (as there are 5 numbers including x)
multiply both sides by 5 to remove the denominator
5 * x = 10+70+80+120+x
5 * x = 280 + x
subtract x from both sides to isolate the x and the coefficient
4 * x = 280
divide both sides by 4 to get x
x= 70
We see that x is 70 or 80 and is one of the current numbers, checking off all boxes.
PLEASE HELP
The function in the table is quadratic
True
False
Answer:
True
Step-by-step explanation:
Each f(x) value increases by 5 so therefore this function would be linear
Hope you understand :)
I WILL MARK THE ANSWER AS BRAINLIEST BE CORRECT BEFORE YOU ANSWER PLEASE
LOOK AT THE PROBLEM
Answer:
yes I look this problem in this figure
Need help with this one please
it right answer is Clovis 2.5% it answer
please help! i need this ASAP!
Answer:
C. y=7/9x+17/9
Step-by-step explanation:
Take the slope. slope= m = y2-y1/x2-x1
=5-(-2)/4-(-5)
=7/9
Then put it into point-slope form.
y-y1=m(x-x1)
=y-5=7/9(x-4)
Simplify.
y=7/9x-28/9+5
y=7/9x+17/9
Answer:
C
Step-by-step explanation:
First find the slope (change in y/ change in x) which is positive 7/9.
Then use y=mx+b and plug in the slope, and one of the given points to solve for b.
5= 7/9*4+b
5=28/9+b
5-28/9=b
45/9-28/9=b
17/9=b
Then with the slope and y intercept(b) you get the equation shown in answer c.
Hope that helps!
What is 12 x 12 ?
A. 12
b. 144
c. 147
d. 2574
Answer:
b
Step-by-step explanation:
1,620 to the nearest ten ? Please don't answer if you know your wrong !
Answer:
I will say 2,000 yes so that is what I am putting
A particular network service provider charges 50 Kobo per second to make a call. How many minutes will a caller with 300 naira airtime last.
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Answer:
10 minutes
Step-by-step explanation:
The current legal tender conversion rate is 50 kobo = 0.50 naira. Then the airtime balance is ...
(300 NGN)/(0.50 NGN/s) × (1 min)/(60 s) = 300/(0.50×60) min = 10 min
ASK YOUR TEACHER A 12-sided die can be made from a geometric solid called dodecahedron. Assume that a fair dodecahedron is rolled. (a) What is the probability of getting a number less than 10 on a single roll
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Answer:
3/4
Step-by-step explanation:
Assuming the faces are numbered 1 to 12, there are 9 faces with values less than 10. Since the outcomes are equally probable and mutually exclusive, the probability of any of the 9 is the sum of their individual probabilities:
P(n < 10) = 9×1/12 = 9/12 = 3/4
